Highest Common Factor of 8776, 9540 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8776, 9540 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 8776, 9540 is 4 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8776, 9540 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8776, 9540 is 4.
HCF(8776, 9540) = 4
HCF of 8776, 9540 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8776, 9540 is 4.
Highest Common Factor of 8776,9540 is 4
Step 1: Since 9540 > 8776, we apply the division lemma to 9540 and 8776, to get
9540 = 8776 x 1 + 764
Step 2: Since the reminder 8776 ≠ 0, we apply division lemma to 764 and 8776, to get
8776 = 764 x 11 + 372
Step 3: We consider the new divisor 764 and the new remainder 372, and apply the division lemma to get
764 = 372 x 2 + 20
We consider the new divisor 372 and the new remainder 20,and apply the division lemma to get
372 = 20 x 18 + 12
We consider the new divisor 20 and the new remainder 12,and apply the division lemma to get
20 = 12 x 1 + 8
We consider the new divisor 12 and the new remainder 8,and apply the division lemma to get
12 = 8 x 1 + 4
We consider the new divisor 8 and the new remainder 4,and apply the division lemma to get
8 = 4 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 8776 and 9540 is 4
Notice that 4 = HCF(8,4) = HCF(12,8) = HCF(20,12) = HCF(372,20) = HCF(764,372) = HCF(8776,764) = HCF(9540,8776) .
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Frequently Asked Questions on HCF of 8776, 9540 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8776, 9540?
Answer: HCF of 8776, 9540 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8776, 9540 using Euclid's Algorithm?
Answer: For arbitrary numbers 8776, 9540 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.